50503

Properties

Appears in sequences

• Number of lattice paths from (0,0) to (n,n) with steps (0,1), (1,0) and, when on the diagonal, (1,1).at n=8A026671
• a(n) = T(n, floor(n/2)), T given by A026670.at n=16A026676
• a(n) = T(n, floor(n/2)), T given by A026736.at n=17A026742
• Self-convolution of array T given by A026670.at n=8A026981
• a(n) = greatest number in row n of array T given by A026736.at n=17A027214
• Indices of primes at which the prime race 4k-1 vs. 4k+1 is tied.at n=30A038691
• a(n) = ceiling(x(n)), where x(n) = 3*x(n-1)/2 and x(1) = 1.at n=25A117590
• Expansion of 1/(1-x-x^3*c(x^3)), c(x) the g.f. of A000108.at n=25A165407
• Primes formed by concatenating k, k and 3 for k >= 1.at n=14A210512
• Riordan array (1/(1-x*C(x)^3), x*C(x)), C(x) the g.f. of A000108.at n=57A236830
• Number of 4 X n 0..2 arrays with no element equal to the sum of elements to its left or one plus the sum of the elements above it, modulo 3.at n=27A239031
• Primes having only {3, 5, 0} as digits.at n=21A260223
• Primes p such that if q is the next prime, (p+q)/6 is a triangular number.at n=48A356293
• Primes having only {0, 3, 5, 6} as digits.at n=37A386061
• Prime numbersat n=5180